We're dividing 135435 by 23 
The aim is to understand the frequency of 23 in 135435.

Advancing to step 1:
If we divide 1 by 23, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 23

Moving on to step 2:
23 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 23

Moving on to step 3:
23 can be fit into 135 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 115 from 135 and we're left with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 23

Step 4:
When dividing 204 by 23, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtract 184 from 204 to get 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 23

Step 5:
The number 23 fits into 203 8 times, leaving a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 588.0
Subtract 184 from 203 to get 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 23

Let's proceed to step 6:
23 can be fit into 195 8 times, resulting in a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 5888.0
Deduct 184 from 195 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
23 goes into 110 4 times with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 5888.4
Deduct 92 from 110 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
When dividing 180 by 23, we get 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 5888.47
Subtract 161 from 180 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
If we divide 190 by 23, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 5888.478
Deduct 184 from 190 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
23 goes into 60 2 times with a remainder of 14.
The next digit of our result is 2. 
Result so far: 5888.4782
If we take 46 away from 60, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
The number 23 fits into 140 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 5888.47826
If we subtract 138 from 140, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
20 divided by 23 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5888.47826
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
If we divide 200 by 23, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 5888.4782608
Deduct 184 from 200 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
23 can be fit into 160 6 times, resulting in a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 5888.47826086
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 5888.47826086 with a balance of 2.2e-08.